Hope you do not mind explaining. In regards to "http://www.youtube.com/watch?v=nW2GD3pYsXY&feature=related" on triple integral and volume, at 06.48min, may I know how did he let x = 3sin ().
is there a formula to it?
is there a formula to it?
He knew to do this from experience. This is a well known trig substitution method. This would not be obvious to a student new to the subject.he drew the triangle out because he needed to solve the integral of "8*sqrt(9-x^2)"....
so how did he derive and get that triangle just from looking at this equation? or maybe can you explain and solve the integral of "8*sqrt(9-x^2)"?
also, when can i apply this formula? and how would i know that "sqrt(9-x^2)" is on the adjacent of the triangle? why can't it be on the opposite?
Generally, you have the following options.are there any alternative to solve this integration?
by Rushi Patel
by Luke James